Exercise
$tan^2y\:dy\:=\:sin^3\left(x\right)dx$
Step-by-step Solution
Learn how to solve separable differential equations problems step by step online. Solve the differential equation tan(ydy)^2=sin(x)^3dx. Divide both sides of the equation by dx. Simplify the fraction \frac{dx}{dx} by dx. Any expression multiplied by 1 is equal to itself. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality.
Solve the differential equation tan(ydy)^2=sin(x)^3dx
Final answer to the exercise
$y^2=\frac{-\sin\left(x\right)^{2}\cos\left(x\right)}{3}-\frac{2}{3}\cos\left(x\right)+C_0$